82509767776277 has 8 divisors (see below), whose sum is σ = 84533338917720. Its totient is φ = 80486727005440.

The previous prime is 82509767776243. The next prime is 82509767776297. The reversal of 82509767776277 is 77267776790528.

It can be written as a sum of positive squares in 4 ways, for example, as 148225770001 + 82361542006276 = 385001^2 + 9075326^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82509767776277 - 2²⁴ = 82509750999061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82509767776297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132277688 + ... + 132899985.

It is an arithmetic number, because the mean of its divisors is an integer number (10566667364715).

Almost surely, 2^{82509767776277} is an apocalyptic number.

It is an amenable number.

82509767776277 is a deficient number, since it is larger than the sum of its proper divisors (2023571141443).

82509767776277 is a wasteful number, since it uses less digits than its factorization.

82509767776277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265185303.

The product of its (nonzero) digits is 6098924160, while the sum is 80.

The spelling of 82509767776277 in words is "eighty-two trillion, five hundred nine billion, seven hundred sixty-seven million, seven hundred seventy-six thousand, two hundred seventy-seven".